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Finding the Fourth Proportional to 9,890.16, 13,648.32 and 5,413.98

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Solution

The fourth proportional to 9,890.16, 13,648.32 and 5,413.98 is: 7,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.16 : 13,648.32 = 5,413.98 : x
  2. Step 2: Convert to fraction form
    9,890.16/13,648.32 = 5,413.98/x
  3. Step 3: Cross multiply
    9,890.16x = 13,648.32 × 5,413.98
  4. Step 4: Simplify right side
    9,890.16x = 73,891,731.51
  5. Step 5: Solve for x
    x = 73,891,731.51/9,890.16
  6. Step 6: Final answer
    x = 7,471.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.